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Finding the Fourth Proportional to 397.93, 548.80 and 258.00

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Solution

The fourth proportional to 397.93, 548.80 and 258.00 is: 355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.93 : 548.80 = 258.00 : x
  2. Step 2: Convert to fraction form
    397.93/548.80 = 258.00/x
  3. Step 3: Cross multiply
    397.93x = 548.80 × 258.00
  4. Step 4: Simplify right side
    397.93x = 141,589.19
  5. Step 5: Solve for x
    x = 141,589.19/397.93
  6. Step 6: Final answer
    x = 355.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.